COMPUTATIONAL ANALYSIS OF HIGHER- ORDER INTEGRO-DIFFERENTIAL EQUATIONS BY CANONICAL POLYNOMIAL BASIS FUNCTIONS

Authors

  • M. T. Raji Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria Author
  • O. Fagbemiro Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria Author
  • B. I. Olajuwon Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun State, Nigeria Author

Keywords:

integral equations, canonical, Integro Differential Equations (IDEs)

Abstract

This paper presents the computational analysis approach to the solution of higher order Integro- Differential Equations (IDES) via the canonical polynomial basis function. The canonical polynomial basis function generated by re-defining the differential part in operator form. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Two numerical examples were considered with the use of Mathematical Software (MATLAB 2009b) to illustrate the performance, efficiency and implementation of the method. Hence, the results showing the performance and effectiveness of the technique were
presented in tabular form. The technique has approachable better performance than variational iteration method when compared. 

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Published

2022-03-01

How to Cite

COMPUTATIONAL ANALYSIS OF HIGHER- ORDER INTEGRO-DIFFERENTIAL EQUATIONS BY CANONICAL POLYNOMIAL BASIS FUNCTIONS. (2022). The Journals of the Nigerian Association of Mathematical Physics, 63, 79 –86. https://nampjournals.org.ng/index.php/home/article/view/113

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